What is the Least Common Multiple of 33189 and 33193?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 33189 and 33193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33189 and 33193, than apply into the LCM equation.

GCF(33189,33193) = 1
LCM(33189,33193) = ( 33189 × 33193) / 1
LCM(33189,33193) = 1101642477 / 1
LCM(33189,33193) = 1101642477

Least Common Multiple (LCM) of 33189 and 33193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33189 and 33193. First we will calculate the prime factors of 33189 and 33193.

Prime Factorization of 33189

Prime Factorization of 33193

Now multiplying the highest exponent prime factors to calculate the LCM of 33189 and 33193.

LCM(33189,33193) = 3¹ × 13¹ × 23¹ × 37¹ × 19¹ × 1747¹
LCM(33189,33193) = 1101642477